Convert the following equations into perpendicular form and find the length of perpendicular from origin and the angle between `x`-axis and the perpendicular from origin :
`(i) sqrt(3)x-y=8` `(ii) 2x+ysqrt(5)=6`

Answer

`(i) x cos 330^(@)+y sin 330^(@)=4`, `p=4`, `alpha=330^(@)`
(ii) `x cos alpha+ y sin alpha=2`, where `tan alpha=(sqrt(5))/(2)`, `p=2`, `alpha= tan^(-1)"(sqrt(5))/(2)`